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andre [41]
4 years ago
10

Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. If a student’s z-

value was 1.75 on the test, what was the student’s score?
Mathematics
2 answers:
murzikaleks [220]4 years ago
3 0

z = (x - 500) / 100

1.75 = (x - 500) / 100

175 = x - 500

675 = x

g100num [7]4 years ago
3 0

Answer:

A, 675

Step-by-step explanation:

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Eric wants to send a package to his mother. If he chooses UPS, the fixed express fee is 10 dollars and each kilogram costs 2 dol
o-na [289]

Answer:

10kg

Step-by-step explanation:

For UPS;

express fee = $10

If one kg costs $2, then x kg of package will coat $2x

Total cost of shipping xkg of package will be 10+2x

For FedEx;

Fixed express fee = $20

If one kg costs $1, then x kg of package will coat $1x

Total cost of shipping x kg of package is 20+x

If the total costs of the two options are the same, then;

10+2x = 20+x

2x-x = 20-10

x = 10.

Hence Eric sent 10kg of package

8 0
3 years ago
If magazines cost $0.50 each, how much will 3 magazines cost?
denis23 [38]
What you want to do is do:

0.5 + 0.5 + 0.5 to find how much 3 magazines are.

So, three magazines cost $1.50
6 0
4 years ago
Read 2 more answers
Mr. and Mrs. Lorenzo want to buy a home valued at $213,500. If they have 18% of this amount saved for a down payment, how much h
romanna [79]
It would be: 213500 * 18/100
213500 * 0.18 = $38430

So, option D is your answer.

Hope this helps!
5 0
4 years ago
Let an be the sum of the first n positive odd integers.
sesenic [268]

Answer:

A) The first 4 terms of the sequences are: a_{1} =16, a_{2} =24, a_{3} =32 and a_{4} =40.

B) An explicit formula for this sequence can be written as: a_{n} =8*(n+1)

C) A recursive formula for this sequence can be written as:

\left \{ {{a_{1} =16} \atop {a_{n} =a_{n-1}+8}} \right.

Step-by-step explanation:

A) You can find the firs terms of this sequence simply selecting an odd integer and summing the consecutive 3 ones:

a_{n} = Odd_{n}+Odd_{n+1}+Odd_{n+2}+Odd_{n+3} (a.1)

a_{1}=1+3+5+7=16

a_{2}=3+5+7+9=24

a_{3}=5+7+9+11=32

a_{4}=7+9+11+13=40

B) Observe the sequence of odd numbers 1, 3, 5, 7, 9, 11, 13(...).

You can express this sequence as:

Odd_{n}=(2*n-1) (b.1)

If you merge the expression b.1 in a.1, you obtain the explicit formula of the sequence:

a_{n} = Odd_{n}+Odd_{n+1}+Odd_{n+2}+Odd_{n+3} (a.1)

a_{n} = (2*n-1)+((2*(n+1)-1))+((2*(n+2)-1))+((2*(n+3)-1)) (b.2)

a_{n} = 8*n+8 (b.3)

a_{n} =8*(n+1) (b.s)

C) The recursive formula has to be written considering an initial term and an N term linked with the previous term. You can see an addition of 8 between a term and the next one. So you can express each term as an addition of 8 with the previous one. Therefore, if the first term is 16:

\left \{ {{a_{1} =16} \atop {a_{n} =a_{n-1}+8}} \right. (c.s)

5 0
3 years ago
Working​ together, two people can cut a large lawn in 44 hr. One person can do the job alone in 1 hr less than the other. How lo
garri49 [273]
Turn the word problem to an algebraic one. OK, so two people in forty four hours means 44/2 and the one less than means -1 so if you make each person a variable then guy one is x and guy two is y; therefor it's 44=, man i'm tired the answer is 23.
6 0
4 years ago
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